Year 7 – Sequence Homework

Year 7 – Sequence Homework 

1.
Give the next two terms in the following sequences.
Describe the term to term rule you have used. Hint: Think how you get from one number (TERM) to the next

Example:
 0,7,14,...
Answer: 0,7,14, 21, 28 Term to term rule : add seven.

a.  3,6,9,... b. 4,8,12,.. c. 4,9,14, … d. 23,20,17…
e. 101,108,115,… f. 9,18,27,.. g. 32, 28, 22, … h  301, 310, 319, …
i. 2,10,50,... j. 2,6,18, ... k. 1,4,9,16,… l. 240,120,60,…
m. 10, 7, 4, 1, -2, … n. 1000,100,10,1,0.1,..

2.
For each pair of numbers find two different sequences, writing the next two terms. Describe the term to term rule you have used
Hint :one rule may be addition based the other rule may be multiplication based

Example:
4,8,...
Answer: Sequence 1: 4,8,12,16 Term to term rule : add four
 Sequence 2: 4,8,16,32 Term to term rule double/multiply by 2

a.  1,4,... b.2,6, … c. 5,15, …